Progress in Mathematics

Representations of Reductive p-adic Groups

International Conference, IISER, Pune, India, 2017

Editors: Aubert, A.-M., Mishra, M., Roche, A., Spallone, S. (Eds.)

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  • Highlights the latest research on representations of p-adic groups  Features survey articles and original research articles by respected experts  Presents a survey by Anne-Marie Aubert on the hugely influential local Langlands program  Includes a survey by Colin Bushnell on the fine structure of the local Langlands correspondence for general linear groups

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About this book

This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike.

About the authors

ANNE-MARIE AUBERT is Research Director in Mathematics at the Centre National de la Recherche Scientifique (CNRS) at the Institut Mathématiques de Jussieu Paris Rive-Gauche, Paris, France. She is a member of the Comité National de la Recherche Scientifique, and has served on the editorial board of the Bulletin and the Memoirs of the French Mathematical Society. 

MANISH MISHRA is Assistant Professor of Mathematics at the Indian Institute of Science Education and Research (IISER), Pune, India. He previously held postdoctoral positions at the Heidelberg University and the Hebrew University of Jerusalem. He completed his BTech at the Indian Institute of Technology Kanpur and his PhD at Purdue University, USA. 

ALAN ROCHE is Associate Professor of Mathematics at the University of Oklahoma, USA. He previously held visiting positions at Purdue University and Oklahoma State University, USA. 

STEVEN SPALLONE is Associate Professor of Mathematics at the Indian Institute of Science Education and Research (IISER), Pune, India. He graduated from the University of Pennsylvania and completed his PhD at the University of Chicago, USA, in 1998 and 2004, respectively. His research interests include number theory and representation theory.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-981-13-6628-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-981-13-6627-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Representations of Reductive p-adic Groups
Book Subtitle
International Conference, IISER, Pune, India, 2017
Editors
  • Anne-Marie Aubert
  • Manish Mishra
  • Alan Roche
  • Steven Spallone
Series Title
Progress in Mathematics
Series Volume
328
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-6628-4
DOI
10.1007/978-981-13-6628-4
Hardcover ISBN
978-981-13-6627-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XIII, 289
Number of Illustrations
1 b/w illustrations, 3 illustrations in colour
Topics